ANSWER
Yes, f is a function.
EXPLANATION
The domain of the relation is D = {xlx is a state in the United States}
The rule is that f(x) ="the state capital"
The relation will be a function if and only if no two elements in the first set have the same image in the second set.
Since no two states will have the same capital, the relation is a function.
Answer:
<h2>x = -11</h2>
Step-by-step explanation:
In algebra, the goal is always to isolate the variable, so that its value can be determined.
<h3>Step 1: Add x</h3>
6 + x = -5
<h3>Step 2: Subtract 6</h3>
x = -11
<h3>Step 3: Check</h3>
6 = -5 - -11
6 = -5 + 11
6 = 6 ✔
<h3>Step 4: Answer</h3>
x = -11
I'm always happy to help :)
Answer:
C.No because two of the y values are the same
Step-by-step explanation:
Answer:
The unit price is the cost per unit of an item or the cost/price for each item.
1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.
2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.
3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.
4) Store B. Because 2 is less than 3 which is less than 4.
Answer:
a) 625; 625; right triangle
b) 205; 256; obtuse triangle
Step-by-step explanation:
The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.
<h3>left side</h3>
7² +24² = 49 +576 = 625
25² = 625
The sum of the squares of the short sides is the square of the long side, so this is a right triangle.
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<h3>right side</h3>
6² +13² = 36 +169 = 205
16² = 256
The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an <em>obtuse triangle</em> (as shown).
